systems of equations and unconstrained optimization

... References Hansen, E and Sengupta, S.: Bounding solutions of systems of equations using interval analysis BIT 21, 203–211 (1981) Neumaier, A.: Interval Methods for Systems of Equations Cambridge ... Discrete abstractions of hybrid systems Proceeding of IEEE 88, 970–983 (2000) Nedialkov, N.S., Mohrenschildt, M.v.: Rigorous Simulation of Hybrid Dynamic Systems with Symbolic and Interval Methods ... Modeling of Hybrid Systems Using Interval Arithmetic Constraints Hybrid Systems: Computation and Control, 139–142 (2004) Ishii D., Ueda K., Hosobe H., and Goldsztejn A.: Interval-based Solving of Hybrid...

Ngày tải lên: 12/01/2014, 22:20

Ngày tải lên: 14/03/2016, 22:30

... working medium of the refrigerator The frequency of the thermal phonons of the hot and cold reservoirs are ωh and ωc , respectively, and the creation and annihilation operators of ˆ+ ˆ− ˆ+ ˆ− ... of harmonic and spin-1/2 quantum refrigeration cycles, many authors studied the performance of quantum refrigerator using ideal quantum Bose and Fermi gases [36-38] Bartana and Kosloff [39] and ... engineering, and technology support for propulsion plants He has been the Director of the Department of Nuclear Energy Science and Engineering, the Director of the Department of Power Engineering and...

Ngày tải lên: 05/09/2013, 15:28

... Director of the Department of Nuclear Energy Science and Engineering, the Director of the Department of Power Engineering and the Superintendent of the Postgraduate School Now, he is the Dean of the ... maximum values of Eqs (32) and (33) subject to the constraints of discrete Eqs (34) and (35) From Eqs (32)-(35), the Bellman’s backward recurrence equations corresponding to Eqs (32) and (33) are, ... College of Naval Architecture and Power, Naval University of Engineering, P R China Professor Chen is the author or coauthor of over 1200 peer-refereed articles (over 510 in English journals) and...

Ngày tải lên: 05/09/2013, 15:28

... Nonexistence of nontrivial solutions for the p (x) −Laplacian equations and systems in unbounded domains of Rn AKROUT Kamel∗1 Department of mathematics and informatics.Tebessa university ... results of nonexistence of nontrivial solutions of the semilinear elliptic equations and systems, under various situations, see [1-8] The Pohozaˇv identity e [1] published in 1965 for solutions of ... interested on the study of the nonexistence of nontrivial solutions for the p (x) −Laplacian equations, in unbounded domains of Rn This leads us to extend these results to m -equations systems The method...

Ngày tải lên: 20/06/2014, 21:20

... the use of Gronwall inequality Then, v ≤ u in DT , and the proof of part i of the lemma is completed The similar argument gives the proof of part ii of the lemma Advances in Difference Equations ... where α2 and α3 depend only on d and the parameters M, a0 , θ0 , α0 , μ1 , μ2 , ν M , μ M , and independent of m 0, Proof By Hypothesis H , 3.20 , and 3.27 , the proof similar to that of 15, Lemma ... Pao, Systems of parabolic equations with continuous and discrete delays,” Journal of Mathematical Analysis and Applications, vol 205, no 1, pp 157–185, 1997 C V Pao, “Convergence of solutions of...

Ngày tải lên: 21/06/2014, 05:20

... the systems (1.4), (1.5), and (1.6), un and represent the densities of the two population species at time nk(≡ n∆t), k is a small time increment, and for each l = 1,2,α(l) ,a(l) , b(l) , and ... There are huge amounts of works in the literature that dealt with the asymptotic behavior of solutions for differential and difference systems with time delays, and much of C V Pao 59 the discussions ... differential systems, including various Lotka-Volterra-type equations (cf [2, 3, 5, 7, 8, 12, 15, 19, 20]) Later development leads to various forms of difference equations, and many of them are...

Ngày tải lên: 23/06/2014, 00:20

... analysis of thermal systems is often complicated because of the complex nature of fluid flow and of heat and mass transfer mechanisms that govern these systems As a result, typical thermal systems ... company is closely linked with the design and optimization of new processes and systems and optimization of existing ones Consequently, the subject of design, which had always been important, ... may differ in intensity and sequence 1.3 THERMAL SYSTEMS Let us now turn our attention to thermal systems and consider the nature of these systems and the various types of systems that are commonly...

Ngày tải lên: 27/06/2014, 17:20

... emergence of order…[allowed by] a constant flow of energy and matter through the system…[the] emergence of new structures and new forms of behavior…[which are] the hallmark of self-organization, [and] ... analogous to the movement of sperms prior to fertilization The systems evolutionary phase follows the completion of the initial state but prior to a stage of a of the zone of order and the fully-functioning ... terms expressing concepts of this model and systems, complexity, and chaos are italicized for emphasis Figure 1: This model conceptualizes the existence of zones of order and chaos, with ongoing...

Ngày tải lên: 26/10/2012, 10:04

... operation and performance of turbines, and can cause dangerous hydropneumatic effects, such as noise and vibrations 1.4 Draft tube and tailrace Another challenge is to understand the hydrodynamic of ... formulations of mass, momentum and energy conservation laws for fluid flows The equations are supplemented by fluid state equations defining the nature of the fluid, and by empirical dependencies of fluid ... longitudinal section of a ball valve Graph Ball valve opening angle of 45º - velocity (v/vo) (a) and pressure (p/po) profiles Graph shows the layout of the velocity and pressure profiles along stretches...

Ngày tải lên: 05/09/2013, 14:58

... Assistant Professor with the Department of Engineering Management and Systems Engineering, Missouri University of Science and Technology Prior to joining Missouri S&T she was an Assistant Professor ... integrated energy and environmental management systems model It offers a holistic view of both approaches, maps linkages, and suggests an integrated process design capable of meeting high-performing ... of the process flow and shares the benefits of each individual process design model The main objective of this model is to integrate and optimize each process by conducting a detailed study of...

Ngày tải lên: 05/09/2013, 15:28

... occurs in the month of March of 955.56 W/m2 at 13:00 and minimum in December of 705.56 W/m2 at 12:00 Whereas ambient temperature is maximum of 36.1oC at 13:00 in the month of May and minimum ambient ... requirement of higher yield of distilled water from active and passive solar stills is a real challenge for researchers around the world and necessitates the development of more advanced concepts of solar ... is refined latent heat of vaporization of water at the condenser surface of last stage (J/kg), h fgNs is latent heat of vaporization of water at the condenser surface of the last stage (J/kg),...

Ngày tải lên: 05/09/2013, 16:11

... discipline point of view has been performed, as the goal of the study is to evaluate applicability of the most often used methods for understanding and m easuring consumer acceptance and satisfaction ... consumption and consumer behaviour 3.1 Business and marketing domain This section provides a summary of the current understanding of consumer behaviour based on the overview of the existing body of business ... consumption and consumer behaviour from the point of view of different disciplines Business management and marketing are concerned with ways of satisfying and retaining customers for the purpose of generating...

Ngày tải lên: 04/11/2013, 10:15

... 348 Chapter Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... effort, but also with understanding and increased self-esteem Hamming’s motto, “the purpose of computing is insight, not numbers,” is particularly apt in the area of finding roots You should repeat ... scaled axes, can save you a lot of grief as you enter the world of root finding 350 Chapter Root Finding and Nonlinear Sets of Equations for (i=1;i

Ngày tải lên: 07/11/2013, 19:15

... (8) and (9), (Vicente et al 2007) 2.3 Decoupled system equations The Eq (18) represents a system of N differentials equations coupled by the off diagonal elements of the inertia, stiffness and ... Wide bandwidth control of high-speed milling machine of feed drives, PhD dissertation, University of Florida, 1999 Varanasi, K K and Nayfeh, S A, Modeling, Identification, and Control of Ballscrew ... coefficients of these elements All the above equations depend on the displacement fields u(x,t) and θ(x,t) that must be formulated A rigorous treatment of vibrations of continua requires the solution of...

Ngày tải lên: 13/12/2013, 01:16

... interval into n equally spaced segments, and search for zero crossings of the function nb is input as the maximum number of roots sought, and is reset to the number of bracketing pairs xb1[1 nb], xb2[1 ... known to be within an interval of size n , then after the next iteration it will be bracketed within an interval of size 354 Chapter Root Finding and Nonlinear Sets of Equations #include ... trade@cup.cam.ac.uk (outside North America) a x2 x3 b x1 d c f e 351 9.1 Bracketing and Bisection 352 Chapter Root Finding and Nonlinear Sets of Equations #include #define FACTOR 1.6 #define NTRY 50 if...

Ngày tải lên: 15/12/2013, 04:15

... REFERENCES AND FURTHER READING: Ralston, A., and Rabinowitz, P 1978, A First Course in Numerical Analysis, 2nd ed (New York: McGraw-Hill), §8.3 Ostrowski, A.M 1966, Solutions of Equations and Systems of ... Method, False Position Method, and Ridders’ Method f(x) 356 Chapter Root Finding and Nonlinear Sets of Equations f (x) Figure 9.2.3 Example where both the secant and false position methods will ... rtf; Convergence } nrerror("Maximum number of iterations exceeded in rtflsp"); return 0.0; Never get here 358 Chapter Root Finding and Nonlinear Sets of Equations Ridders’ Method f(x1 ) − 2f(x3...

Ngày tải lên: 15/12/2013, 04:15

... estimate of the root and P/Q ought to be a “small” correction Quadratic methods work well only when the function behaves smoothly; they run the serious risk of giving very bad estimates of the ... guarantee at least linear convergence This kind of super-strategy requires attention to bookkeeping detail, and also careful consideration of how roundoff errors can affect the guiding strategy Also, ... a quadratic function of y) whose value at y = is taken as the next estimate of the root x Of course one must have contingency plans for what to if the root falls outside of the brackets Brent’s...

Ngày tải lên: 15/12/2013, 04:15

... and Nonlinear Sets of Equations of the desired root But that means that in the neighborhood of an extremum there must be a tiny, perhaps distorted, copy of the basin of convergence — a kind of ... evaluated efficiently, and whose derivative is continuous and nonzero in the neighborhood of a root Even where Newton-Raphson is rejected for the early stages of convergence (because of its poor global ... 9.5 Roots of Polynomials 369 9.5 Roots of Polynomials Deflation of Polynomials When seeking several or all roots of a polynomial, the total effort can be significantly reduced by the use of deflation...

Ngày tải lên: 15/12/2013, 04:15

... must be off the real axis, otherwise you will never get off that axis — and may get shot off to infinity by a minimum or maximum of the polynomial For real polynomials, the alternative means of polishing ... (outside North America) Given B and C, R and S can be readily found, by polynomial division (§5.3) We can consider R and S to be adjustable functions of B and C, and they will be zero if the quadratic ... 370 Chapter Root Finding and Nonlinear Sets of Equations f (x) f (x) (a) x (b) Figure 9.5.1 (a) Linear, quadratic, and cubic behavior at the roots of polynomials Only under high magnification...

Ngày tải lên: 15/12/2013, 04:15